A plane passes through the point (1,-2,3) and is parallel to the plane `2x-2y+z=0`. The distance of the point (-1,2,0) from the plane, is

Options

A. 2
B. 3
C. 4
D. 5

Answer

D

Explanation

Let parallel plane be `2x-2y+z+lamda=0`. It passes through (1,-2,3).
`:. 2+4+3+lamda=0`
`rArr" "lamda=-9`
The distance of (-1,2,0) from the plane
`2x-2y+z-9=0` is
`|{:(-2-4-9)/(3):}|=5`